1. True or False: In cluster sampling, subjects are pulled from the population in groups.

2. True or False: Sampling Error is only considered to be committed or caused by the researcher.

5. Which variable is described as the outcome variable?

A. Independent variable

B. Constant Variable

C. Dependent variable

D. Extraneous

6. Which of the following variables are continuous? Select all that apply

A. The number of people in the movie theater

B. weight of a package of hamburger meat

C. number of chairs sold in a month

D. the weight of a child

E. The height of a building

7. Which of the following are quantitative data? Select all that apply.

A. Age of your car

B. Color of your hair

C. Name of your pet

D. Length of your commute to campus

E. Height of your car

F. Height of 20 4 year olds

You estimated a regression model using annual returns of ExxonMobil (as a dependent variable) and of the market (as an independent variable). The R-squared of this regression is 0.2, and the total variance of ExxonMobil's returns in the estimation window is 0.0625. In this case, the variance of the unsystematic (or idiosyncratic) component of ExxonMobil's returns is:

use Simpson's 3/8th Rule on the first 3 segments, and multiple application of Simpson's 1/3rd Rule on the rest of the segments.

?(?)=400?⁵−900?⁴+675?³−200?²+25?+0.2

a = 0.12
b = 1.56
n = 7

The number of orders that come into a mail-order sales office each month is normally distributed with a population mean of 298 and a population standard deviation of 15.4. For a particular sample size, the probability is 0.2 that the sample mean exceeds 300. How big must the sample be?

1. What sample size is required to achieve a ME of ±4% at 90% confidence with an estimatedp = 0.3? Show how you arrived at your solution for full credit.

2. If a sample proportion is unknown, what sample size is required to achieve a ME of ±2% at 98% confidence ? Show how you arrived at your solution for full credit.

Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.

n = 6 and p = 0.3

Determine ​P(x=4​) using the binomial probability formula.

b. Determine ​P(X=4​) using a table of binomial probabilities.

Compare this answer to part​ (a).

The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces and a standard deviation of 0.3 ounce.

​(a) What is the probability that a randomly selected carton has a weight greater than 8.09 ​ounces?

​(b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 8.09

ounces?

Weights of 10-ounce bag corn chips follow a normal distribution with µ=10 and σ=0.3 ounces. Find the probability that

–(i) the sample mean weight of 49 randomly selected bags exceeds 10.25 ounces.

–(ii) the sample mean weight of 49 randomly selected bags is less than 10.20 ounces.

Suppose the alphabet is S = {A B C D} and the known probability distribution is P_A = 0.3, P_B = 0.1, P_C = 0.5, and P_D = 0.1. Decode the Huffman coding result {11000010101110100} to the original string based on the probability distribution mentioned above. The codeword for symbol “D” is {111}. Please writing down all the details of calculation.

•Bonnie is 36 weeks and her physician is concerned that the fetus is showing signs of distress.  She orders a “lung profile” which consists of determining the L/S ratio and measuring the percent phosphatidylglycerol (PG) on amniotic fluid.  The results are:

•L/S ratio = 1.0

•PG ratio = 0.3%

1.What is the interpretation of these test results?